Answer:
A. 8
Step-by-step explanation:
The angle shown is a 90 degree right angle (shown by the box where the vertex is)
We see that the first angle inside the right angle is 50 degrees, so the other angle must be 40 because the degrees must add up. We can set up an equation here.
After dividing both sides by 5, we get x = 8
Answer:
2/3
Step-by-step explanation:
5/6 - (1/8÷3/4)
=5/6 - (1/8 × 4/3)
=5/6 - ( 1/6)
=4/6
=2/3
Answer:
3x4 = 12 is the most related fact to 12:3 = 4
Step-by-step explanation:
Answer:
okay thanks didn't expect this lol
Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
